Question

a container starts with 8 milliliters of water in it. chloe is dropping cubes into the container one at a time. she records the volume in the container after each cube is dropped in. find the slope of the line. the slope is the change in vertical distance for a given change in horizontal distance. you can use any two points on the line to find the slope. let’s look at the change in vertical and horizontal distance from (1, 12) to (2, 16). start by labeling the change in vertical distance and horizontal distance on the slope triangle below. slope = \\(\frac{\text{vertical distance}}{\text{horizontal distance}}\\)

Explanation:

Step1: Calculate vertical distance

Subtract y-values: $16 - 12 = 4$

Step2: Calculate horizontal distance

Subtract x-values: $2 - 1 = 1$

Step3: Compute slope

Divide vertical by horizontal: $\frac{4}{1} = 4$

Answer:

The vertical distance is 4, the horizontal distance is 1, and the slope of the line is 4.